Eur. Phys. J. D (2014) 68: 221
https://doi.org/10.1140/epjd/e2014-50167-6

Regular Article

On nonlinear dynamics of a sheet electron beam^*

National Research Nuclear University MEPhI, 115409 Moscow, Russia

^a e-mail: barminova@bk.ru

Received: 28 February 2014
Received in final form: 8 June 2014
Published online: 12 August 2014

Abstract

The nonstationary model is considered allowed to describe the sheet electron beam dynamics with nonuniform current density profile in collisionless approximation. The kinetic distribution function is used dependent on the particle motion integral, so the distribution function automatically satisfies to Vlasov equation. The results of numerical and analytical calculations are discussed.